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Finding the Third Proportional to 96,680,108 and 153,340,646

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Solution

The third proportional to 96,680,108 and 153,340,646 is: 243,207,772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,680,108 : 153,340,646 = 153,340,646 : x
  2. Step 2: Convert to fraction form
    96,680,108/153,340,646 = 153,340,646/x
  3. Step 3: Cross multiply
    96,680,108x = 153,340,646 × 153,340,646
  4. Step 4: Simplify right side
    96,680,108x = 23,513,353,715,697,316
  5. Step 5: Solve for x
    x = 23,513,353,715,697,316/96,680,108
  6. Step 6: Final answer
    x = 243,207,772.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.